A family of exceptional parameters for non-uniform self-similar measures

Jörg Neunhäuserer

doi:10.1214/ECP.v16-1618

A family of exceptional parameters for non-uniform self-similar measures

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

2 Zitate (Scopus)

Abstract

We present plane algebraic curves that have segments of points for which non uniform self-similar measures get singular. We calculate appropriate points on the curves using Mathematica. These points are in the parameter domain where we generically have absolute continuity of the measures,

Originalsprache	Englisch
Aufsatznummer	19
Zeitschrift	Electronic Communications in Probability
Jahrgang	16
Seiten (von - bis)	192-199
Seitenumfang	8
ISSN	1083-589X
DOIs	https://doi.org/10.1214/ECP.v16-1618
Publikationsstatus	Erschienen - 12.04.2011
Extern publiziert	Ja

Fachgebiete und Schlagwörter

Mathematik

ASJC Scopus Sachgebiete

Statistik, Wahrscheinlichkeit und Ungewissheit
Statistik und Wahrscheinlichkeit

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10.1214/ECP.v16-1618Lizenz: CC BY

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KW - Mathematics

KW - Algebraic curves

KW - Non-uniform self similar measures

KW - Singularity

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A family of exceptional parameters for non-uniform self-similar measures

Abstract

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